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13112321100210 = 2345612531104851
BaseRepresentation
bin1011111011001111001100…
…1111011100100110110010
31201102112012012110121120000
42332303303033130212302
53204313013200201320
643515414523330430
72522222353244013
oct276636317344662
951375165417500
1013112321100210
1141a59a4472842
121579309980a16
137416430075a7
143348d55ab00a
1517b13541cc90
hexbecf33dc9b2

13112321100210 has 160 divisors (see below), whose sum is σ = 35850068109504. Its totient is φ = 3437905680000.

The previous prime is 13112321100169. The next prime is 13112321100233. The reversal of 13112321100210 is 1200112321131.

13112321100210 is a `hidden beast` number, since 1 + 31 + 1 + 2 + 321 + 100 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125004285 + ... + 125109135.

Almost surely, 213112321100210 is an apocalyptic number.

13112321100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112321100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17925034054752).

13112321100210 is an abundant number, since it is smaller than the sum of its proper divisors (22737747009294).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13112321100210 is a wasteful number, since it uses less digits than its factorization.

13112321100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107462 (or 107453 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13112321100210 its reverse (1200112321131), we get a palindrome (14312433421341).

The spelling of 13112321100210 in words is "thirteen trillion, one hundred twelve billion, three hundred twenty-one million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 81 90 122 135 162 183 270 305 366 405 549 610 810 915 1098 1647 1830 2531 2745 3294 4941 5062 5490 7593 8235 9882 12655 15186 16470 22779 24705 25310 37965 45558 49410 68337 75930 104851 113895 136674 154391 205011 209702 227790 308782 314553 341685 410022 463173 524255 629106 683370 771955 926346 943659 1025055 1048510 1389519 1543910 1572765 1887318 2050110 2315865 2779038 2830977 3145530 4168557 4631730 4718295 5661954 6395911 6947595 8337114 8492931 9436590 12505671 12791822 13895190 14154885 16985862 19187733 20842785 25011342 28309770 31979555 38375466 41685570 42464655 57563199 62528355 63959110 84929310 95938665 115126398 125056710 172689597 191877330 265377881 287815995 345379194 518068791 530755762 575631990 796133643 863447985 1036137582 1326889405 1592267286 1726895970 2388400929 2590343955 2653778810 3980668215 4776801858 5180687910 7165202787 7961336430 11942004645 14330405574 16188050741 21495608361 23884009290 32376101482 35826013935 42991216722 48564152223 71652027870 80940253705 97128304446 107478041805 145692456669 161880507410 214956083610 242820761115 291384913338 437077370007 485641522230 728462283345 874154740014 1311232110021 1456924566690 2185386850035 2622464220042 4370773700070 6556160550105 13112321100210